G myMCC x b ENR252 Test %232 1).pdf x the disk with a circular grc X C file User

Question

G myMCC x b ENR252 Test %232 1).pdf x the disk with a circular grc X C file Users User/Down :///C: 3. The disk with a circular groove rotates about the vertical axis with a constant speed of 30 rev/min and carries two 8-lb spheres. Calculate the larger of the two forces of contact between the disk and each sphere. Can this result be obtained by using only one force equation? 16.66 lb] 10" 30 The finrre P hinh ie ann d to the 10 ko hinck initia v at rest variee linearlv ENR252 Test 2 d).pdf Show all downloads... 7:05 PM 4/10/2014

Explanation / Answer

For the right sphere,

Let N1 and N2 be the two normals,

N1 pointing away from the rotation axis and N2 towards the rotating axis

w = angular velocity = 30 * 2* 3.14/60 = 3.14 rad/s

N2 cos30 - N1 *cos30 = m*w2*r

0.866 ( N2 - N1 ) = (8*0.453) * (3.14)2* (10 * 0.0254)

N2 - N1 = 10.48 N ........1)

N2 sin30 + N1 sin30 = m*g

0.5 ( N1+ N2) = (8* 0.453) * 9.81

N1 + N2 = 49.52 N .......2)

Adding equation 1 and 2

N2 = 30 N = 30/4.48 = 6.69lbs

N1 = 19.52 N = 4.35 lbs

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